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Finding the Fourth Proportional to 7,785.91, 11,691.83 and 7,725.43

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Solution

The fourth proportional to 7,785.91, 11,691.83 and 7,725.43 is: 11,601.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.91 : 11,691.83 = 7,725.43 : x
  2. Step 2: Convert to fraction form
    7,785.91/11,691.83 = 7,725.43/x
  3. Step 3: Cross multiply
    7,785.91x = 11,691.83 × 7,725.43
  4. Step 4: Simplify right side
    7,785.91x = 90,324,414.24
  5. Step 5: Solve for x
    x = 90,324,414.24/7,785.91
  6. Step 6: Final answer
    x = 11,601.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.